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Finding the Fourth Proportional to 27,185.80, 40,776.72 and 7,462.66

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Solution

The fourth proportional to 27,185.80, 40,776.72 and 7,462.66 is: 11,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.80 : 40,776.72 = 7,462.66 : x
  2. Step 2: Convert to fraction form
    27,185.80/40,776.72 = 7,462.66/x
  3. Step 3: Cross multiply
    27,185.80x = 40,776.72 × 7,462.66
  4. Step 4: Simplify right side
    27,185.80x = 304,302,797.28
  5. Step 5: Solve for x
    x = 304,302,797.28/27,185.80
  6. Step 6: Final answer
    x = 11,193.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.